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Trace Extensions, Determinant Bundles, and Gauge Group Cocycles
Mathematical Physics, Royal Institute of Technology, SE-106 91, Stockholm, Sweden .ORCID iD: 0000-0002-8727-2169
Mathematical Physics, Royal Institute of Technology, SE-106 91, Stockholm, Sweden .
2002 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 62, no 2, 101-110 p.Article in journal (Refereed) Published
Abstract [en]

We study the geometry of determinant line bundles associated with Dirac operators on compact odd-dimensional manifolds. Physically, these arise as (local) vacuum line bundles in quantum gauge theory. We give a simplified derivation of the commutator anomaly formula using a construction based on noncyclic trace extensions and associated nonmultiplicative renormalized determinants.

Place, publisher, year, edition, pages
Springer, 2002. Vol. 62, no 2, 101-110 p.
Keyword [en]
multiplicative anomaly – determinant bundles – gauge group cocycles
National Category
Mathematics Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-122362DOI: 10.1023/A:1021631405781OAI: oai:DiVA.org:liu-122362DiVA: diva2:865863
Available from: 2015-10-29 Created: 2015-10-29 Last updated: 2015-11-09

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Arnlind, Joakim
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